SOLUTION: Some bank robbers leave town, speeding at 71 mph. Ten minutes later, the police give chase, traveling at 78 mph. How long will it take after the robbery for the police to overtake

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Question 561561: Some bank robbers leave town, speeding at 71 mph. Ten minutes later, the police give chase, traveling at 78 mph. How long will it take after the robbery for the police to overtake the robbers? (Round your answer to three decimal places.)
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Some bank robbers leave town, speeding at 71 mph. Ten minutes later, the police give chase, traveling at 78 mph.
How long will it take after the robbery for the police to overtake the robbers? (Round your answer to three decimal places.)
:
Change 10 min to 1/6 hr
:
Let t = travel time of the crooks
then
(t - 1%2F6) = travel time of the cops
:
When they are caught the cops and the crooks travel the same distance.
Write a distance equation: dist = speed * time
:
78(t - 1%2F6) = 71t
78t - 13 = 71t
78t - 71t = 13
7t = 13%2F7
t = 1.857 hrs after the robbery, they are caught